On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces

Abstract

This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.